Use the graph to answer the question.What is the solution of x4 – 3x3 + x2 + 3x – 2 < 0?

Factor the polynomial as (x + 1)(x − 1)²(x − 2). The squared factor is positive except at x = 1, where the expression equals zero. The product is negative between the other roots, x = −1 and x = 2, but x = 1 must also be excluded. Therefore the solution is (−1, 1) ∪ (1, 2), choice C.

AI-written and checked against the verified answer.